Preprints: Piecewise Smooth Systems

• Sliding motion in Filippov differential systems: Theoretical results and a computational approach [With L. Lopez. In SIAM J. Numerical Analysis 47-3 (2009), pp. 2023-2051.]
• Fundamental matrix solutions of piecewise smooth differential systems [With L. Lopez. In Mathematics and Computers in Simulations 81-5 (2011), pp. 932--953.]
• Sliding motion on discontinuity surfaces of high co-dimension. A general construction for selecting a Filippov vector field [With L. Lopez. In Numerische Mathematik 117-4 (2011), pp. 779-811.]
• Numerical Solution of Discontinuous Differential Systems: Approaching the Discontinuity Surface from One Side [With L. Lopez. In Appl. Numerical Mathematics 67 (2013), pp. 98--110.]
• A survey of Numerical Methods for IVPs of ODEs with Discontinuous right-hand side [With L. Lopez. In Journal of Computational and Applied Mathematics 236 (2012), pp. 3967--3991.]
• A Filippov sliding vector field on an attracting co-dimension 2 discontinuity surface, and a limited loss-of-attractivity analysis [With C. Elia, L. Lopez. In J. Differential Equations 254 (2013), pp. 1800-1832.]
• Regularizing Piecewise Smooth Differential Systems: Co-dimension 2 Discontinuity Surface [With N. Guglielmi. In J. Dynamics and Differential Equations 25-1 (2013), pp. 71-94.]
• A comparison of Filippov sliding vector fields in co-dimension 2 [With F. Difonzo. In Journal of Computational and Applied Mathematics, 262 (2014), pp. 161-179, and (corrige) 272 (2014), pp. 273-273.]
• Sharp sufficient attractivity conditions for sliding on a codimension 2 discontinuity surface [With C. Elia, L. Lopez. In Mathematics and Computers in Simulation, 110 (2015), pp. 3-14. http://dx.doi.org/10.1016/j.matcom.2013.12.005]
• Periodic orbits for planar piecewise smooth dynamical systems with a line of discontinuity [With C. Elia. In Journal of Dynamics and Differential Equations, Volume 26, Issue 4 (2014), pp. 1049-1078.]
• Sliding motion on the intersection of two manifolds: Spirally attractive case [Communications in Nonlinear Science and Numerical Simulation, 26 (2015), pp. 65-74.]
• The Moments sliding vector field on the intersection of two manifolds [With F. Difonzo. In J. Dynam. Diff. Equations, Vol. 29, Issue 1 (2017). pp. 169-201.]
• One-Sided Event Location Techniques in the Numerical Solution of Differential Systems [With L. Lopez. In BIT Numerical Mathematics, 55(4) (2015), 987-1003.]
• Minimum variation solutions for sliding vector fields On the Intersection of Two Surfaces in R^3 [With F. Difonzo. In Journal of Computational and Applied Mathematics, 292 (2016), pp. 732-745. DOI information: 10.1016/j.cam.2015.02.026]
• Uniqueness of Filippov sliding vector field on the intersection of two surfaces in R^3 and implications for stability of periodic orbits [With C. Elia, L. Lopez. In J. Nonlinear Science, 25 (2015). JNLS-D-14-00195.1 DOI: 10.1007/s00332-015-9265-6]
• On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case [With F. Difonzo. (March 2, 2016). To appear in JDDE. DOI: 10.1007/s10884-016-9527-5.]
• Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen? [With C. Elia. In DCDS-S, Volume 9, Issue 4 (2016), pp. 1039-1068.]
• Limit cycles for regularized discontinuous dynamical systems with a hyperplane of discontinuity. [With C. Elia and D. Pi. (December 30, 2016). To appear in DCDS-B (2017).]
• Periodic orbits of planar discontinuous system under discretization. [With T. Eirola and C. Elia. In DCDS-B (2018), 23(7): 2743-2762]
• Smooth to discontinuous systems: A geometric and numerical method for slow-fast dynamics. [With C. Elia. In DCDS-B (2018), 23(7): 2935-2950.]
• Sliding integration with no projection. [In Applied Numerical Mathematics (2020), 155: 3-15.]
• On Filippov solution of discontinuous DAEs of index 1. [With C. Elia and L.Lopez. In Commun Nonlinear Sci Numer Simulat 95 (2021).]
• Master stability function for piecewise smooth Filippov networks. [With C. Elia. In Automatica (2023).]